Chapter 2: Q15. (page 106)

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$- |5 a + c| + |3 y + 2 z|$

Short Answer

Expert verified

The expression $- |5 a + c| + |3 y + 2 z|$ is equal to -7.4.

Step by step solution

Step-1. Define absolute value expression.

Absolute values define an upper and lower range in which a value must lie.

Step-2. Substitute the variables.

In order to evaluate the expression $- |5 a + c| + |3 y + 2 z|$ substitute -2 for a, -3 for b, 2 for c, 2.1 for x, 3 for y and -4.2 for z.

$- |5 a + c| + |3 y + 2 z| = - |5 \times (- 2) + 2| + |3 \times 3 + 2 \times (- 4.2)|$

Step-3. Simplify the expression.

Solve the expression as per order of operations.

$- |5 a + c| + |3 y + 2 z| = - |5 \times (- 2) + 2| + |3 \times 3 + 2 \times (- 4.2)| = - |- 10 + 2| + |3 \times 3 - 8.4| = - |- 8| + |9 - 8.4| = - |- 8| + |0.6| = - 8 + 0.6 = - 7.4$

Therefore, the value expression is $- 7.4$ .

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Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$- |5 a + c| + |3 y + 2 z|$

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

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Evaluate each expression if a=−2,b=−3,c=2, x=2.1,y=3, and z=−4.2.−5a+c+3y+2z

Short Answer

Step by step solution

Step-1. Define absolute value expression.

Step-2. Substitute the variables.

Step-3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $a = - 2, b = - 3, c = 2$ , $x = 2.1, y = 3$ , and $z = - 4.2$ .
$- |5 a + c| + |3 y + 2 z|$